2011/02/12 by Zhe Li, Li, Zhe, Shugong Zhang +3
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Numerical Analysis (math.NA) #Polynomial and algebraic computation
paper · pdf · doi:10.48550/arxiv.1102.2475
openalex publication_date 2011/02/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we verify Carl de Boor's conjecture on ideal projectors for real ideal projectors of type partial derivative by proving that there exists a positive η∈ ℝ such that a real ideal projector of type partial derivative P is the pointwise limit of a sequence of Lagrange projectors which are perturbed from P up to η in magnitude. Furthermore, we present an algorithm for computing the value of such η when the range of the Lagrange projectors is spanned by the Gröbner éscalier of their kernels w.r.t. lexicographic order.